Wondering about lodger duties elsewhere with 〜だろう


Grammar Explanation

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Since Cocoa helps out at Chino’s house where she’s saying, she considers the situation if she were instead staying with Chiya.

ココア:
(わたし)下宿(げしゅく)(さき)が千夜ちゃんの(いえ)だったらここでお手伝(てつだ)させてもらったんだろうなー」
“If my lodging was at Chiya’s house, I wonder if I’d be made to help out here.”